Novel second-order sliding mode guidance law with an impact angle constraint that considers autopilot lag for intercepting manoeuvering targets

2020 ◽  
Vol 124 (1279) ◽  
pp. 1350-1370 ◽  
Author(s):  
W.J. Zhang ◽  
Q.L. Xia ◽  
W. Li
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Impact Angle ◽  
Second Order ◽  
Convergence Theory ◽  
Sliding Surface ◽  
Guidance Law ◽  
Wide Range ◽  
Impact Angles ◽  
Second Order Sliding Mode

ABSTRACTA novel second-order sliding-mode-based impact angle and autopilot lag guidance law for engaging manoeuvering targets with unknown acceleration is presented in this study. A backstepping technique is applied to the design of the sliding surface. The proposed guidance law is based on a new sliding surface. It exhibits the advantage of ensuring that the sliding surface and its derivative will converge to zero in finite time while guaranteeing that the sliding surface will not cross zero until the ultimate time. The method effectively eliminates the undesired chattering of the sliding surface. To compensate for the uncertainty caused by target manoeuvering, a new observer is developed to estimate target manoeuvering. The convergence of the system is proven through a Lyapunov function and finite time convergence theory. Lastly, mathematical simulations results show that the proposed guidance law can achieve precise interception with a wide range of impact angles, thereby verifying the effectiveness of the guidance law.

scholarly journals Second-Order Sliding Mode Guidance Law considering Second-Order Dynamics of Autopilot

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Kuanqiao Zhang ◽  
Suochang Yang
Keyword(s):  
Dynamic Characteristics ◽  
Finite Time ◽  
Sliding Mode ◽  
Impact Angle ◽  
Second Order ◽  
Terminal Sliding Mode ◽  
Finite Time Convergence ◽  
Guidance Law ◽  
Impact Angle Constraint ◽  
Second Order Sliding Mode

Aiming at the requirement that some missiles need to meet certain impact angles when attacking targets, we consider the second-order dynamic characteristics of autopilot, thereby proposing a second-order sliding mode guidance law with impact angle constraint. Firstly, based on the terminal sliding mode control, we design a fast nonsingular terminal sliding mode guidance law with impact angle constraint. Based on the second-order sliding mode control, a second-order sliding mode guidance law with impact angle constraint is proposed. We have proved its finite time convergence characteristics and presented the specific convergence time expression. Subsequently, the dynamic characteristics of the autopilot are approximated to the second-order link. Combined with the dynamic surface control theory, we proposed a second-order sliding mode guidance law considering the second-order dynamic characteristics of the autopilot and proved its finite-time convergence characteristics. Finally, the effectiveness and superiority of the proposed guidance law are verified by comparative simulation experiments.

New three-dimensional second-order sliding mode guidance law with impact-angle constraints

2019 ◽  
Vol 124 (1273) ◽  
pp. 368-384
Author(s):  
F.-J. Zhao ◽  
H. You
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Impact Angle ◽  
Second Order ◽  
Singular Problem ◽  
Guidance Law ◽  
Coupling Terms ◽  
Second Order Sliding Mode

AbstractAiming at the issue of missiles attacking on-ground maneuvering targets in three-dimensional space, a three-dimensional finite-time guidance law with impact-angle constraints is proposed. In order to improve convergence speed and restrain chattering phenomenon, the nonsingular fast terminal three-dimensional second-order sliding mode guidance law with coupling terms is designed based on the theory of nonhomogeneous fast terminal sliding surface and second-order sliding mode control. The system model need not be linearized during the design process, and the singular problem is avoided. A nonhomogeneous disturbance observer is designed to estimate and compensate the total disturbance, which is caused by target maneuvering information and coupling terms of line of sight. And the stability and finite-time convergence of the guidance law are proved strictly and mathematically. Finally, simulation results have verified the effectiveness and superiority of the proposed guidance law.

Stabilization of an Underactuated Ball-and-Beam System Using a Second-Order Sliding Mode Control

2014 ◽  
Vol 18 (2) ◽  
pp. 121-127 ◽  
Author(s):  
Jie Yang ◽  
◽  
Qinglin Wang ◽  
Yuan Li ◽  
Jinhua She ◽  
...  
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Second Order ◽  
Convergence Theory ◽  
Control Performance ◽  
Beam System ◽  
Simulation And Experiment ◽  
Model Linearization ◽  
Second Order Sliding Mode ◽  
Ball And Beam System

This paper presents a stabilization method for an underactuated ball-and-beam system (BABS) based on a second-order sliding mode (SOSM) control. The BABS is an underactuated nonlinear system that is widely used to verify nonlinear control performance. Virtual control is introduced to a second-order BABS subsystem to minimize control performance inaccuracy by using model linearization. An actual virtual controller with variable finite-time tracking is achieved using a second-order sliding mode controller. An adaptive robust method is proposed to solve an uncertainty problem with unknown upper bounds, and then a finite-time convergence theory proof is given. Theory, simulation and experiment results verify the efficiency of the BABS controller.

Finite-time convergent terminal guidance law design based on stochastic fast smooth second-order sliding mode

Optik ◽  
2016 ◽  
Vol 127 (15) ◽  
pp. 6036-6049 ◽  
Author(s):  
Peng-fei Yang ◽  
Yang-wang Fang ◽  
You-li Wu ◽  
Xiao-ju Yong
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Second Order ◽  
Guidance Law ◽  
Terminal Guidance ◽  
Second Order Sliding Mode

scholarly journals Nonsingular Continuous Finite-Time Convergent Guidance Law with Impact Angle Constraints

2019 ◽  
Vol 2019 ◽  
pp. 1-13
Author(s):  
Luyao Zang ◽  
Defu Lin ◽  
Yi Ji
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Angular Rate ◽  
Impact Angle ◽  
Second Order ◽  
Terminal Sliding Mode ◽  
Guidance Law ◽  
The Stability ◽  
Twisting Algorithm ◽  
Guidance Laws

This paper documents a novel nonsingular continuous guidance which can drive the line-of-sight (LOS) angular rate to converge to zero in finite time in the presence of impact angle constraints. More specifically, based on the second-order sliding mode control (SMC) theory, a second-order observer (2-OB) is presented to estimate the unknown target maneuvers, while a super twisting algorithm- (STA-) based guidance law is presented to restrict the LOS angle and angular rate. Compared with other terminal sliding mode guidance laws, the proposed guidance law absorbs the merits of the conventional linear sliding mode (LSM) and terminal sliding mode (TSM) and uses switching technique to avoid singularity. In order to verify the stability of the proposed guidance law, a finite-time bounded (FTB) function is invited to prove the boundedness of the proposed observer-controller system and a Lyapunov approach is presented to prove the finite-time convergence (FTC) of the proposed sliding system. Rigorous theoretical analysis and numerical simulations demonstrate the mentioned properties.

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